Uniform non-homogeneous vector bundles: A counterexample to the conjecture of Drézet and Ballico-Ellia
Year: 2026
Type: preprint
Abstract: We construct a rank-9 uniform non-homogeneous vector bundle on ${\mathbb P}^5$. This yields the first counterexample to the longstanding open conjecture that every uniform vector bundle of rank $r<2n$ on ${\mathbb P}^n$ is homogeneous.
Source: arXiv (Cornell University)
Authors: Denham, Graham, Miró-Roig, Rosa, Schenck, Hal
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221974523